All the angles of a square are right angles, but the angles of a rhombus need not necessarily have to be right angles. A square can be considered as a special case of a rhombus because it has four equal-length sides. It also has opposite sides parallel and the sum of all the four interior angles is 360 degrees. It has two diagonals that bisect each other at right angles. Our expert tutors conduct 2 or more live classes per week, at a pace that matches the child's learning needs.įAQs on Rhombus What is Rhombus in Geometry?Ī rhombus is a 2-D shape with four sides hence termed as a quadrilateral. Our mission is to transform the way children learn math, to help them excel in school and competitive exams. All squares are rhombuses, but not all rhombuses are squares.Ĭheck out these interesting articles to learn more about the rhombus and its related topics.Ĭuemath is one of the world's leading math learning platforms that offers LIVE 1-to-1 online math classes for grades K-12.Diagonals bisect each other at right angles.Adjacent angles in a rhombus are supplementary, they sum up to 180°.Here is a list of a few points that should be remembered while studying about rhombus: We get P = (4 × a) units, where a is the side of a rhombus. Just like a square, all four sides of a rhombus are equal, so, the formula for the perimeter of the rhombus is the product of the length of one side by 4. So, A = 1/2 × d 1 × d 2, where d 1 and d 2 are the lengths of the diagonals. It is half of the product of the lengths of the diagonals. The area of a rhombus can be defined as the amount of space enclosed or encompassed by a rhombus in a two-dimensional plane. The perimeter of a rhombus, P = 4 × a, where a is the side.Area of a rhombus, A = 1/2 × d 1 × d 2, where d 1 and d 2 are diagonals of a rhombus.The formulae for rhombuses are defined for two attributes: If you know the side of the rhombus and the value of certain angles, then you can determine the length of the diagonal. For example: if the length of a diagonal is 10 cm and the other diagonal bisects it, then it is divided into two 5 cm segments. One thing we should remember about the diagonal of a rhombus is that in addition to bisecting each other at 90°, the two diagonals bisected will be of the same length. Opposite angles are equal and the opposite sides are parallel. Here, diagonals DB and CA bisect each other at 90° The table below describes the properties of a rhombus.Īll sides of a rhombus are congruent (equal).ĭiagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other. The sum of any two adjacent or consecutive angles is 180°.Ī rhombus, like all geometric shapes, has properties that are unique to it.The opposite sides are equal and parallel.Opposite angles are congruent or equal.The general properties of a parallelogram are as follows: A rhombus is said to have reflection symmetry over both of its diagonals. It creates a mirror-like reflection of both sides of the object. Axis of symmetry can be considered as a line that divides an object into two equal halves. A rhombus has its two diagonals as its two lines of symmetry. All rhombi or rhombuses are not squares, but all squares are rhombuses.Ī rhombus can have three additional names:Ī rhombus is considered to be one of the special parallelograms as it has all the properties of a parallelogram.All rhombi or rhombuses are parallelograms, but all parallelograms are not rhombuses.And, hence a rhombus with right angles can be considered a square. A square can be considered as a special case of a rhombus because it has four equal sides. In the above figure, we can notice that every rhombus we see will also be a parallelogram, but not every parallelogram is a rhombus. Look at the image below to understand the relationship of rhombus shape with parallelogram and square. That is why it is also known as a tilted square. In addition to this, a rhombus has all four sides equal just like a square. a quadrilateral with two pairs of parallel sides. A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e.
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